N = 1 sigma models in AdS[subscript 4]
We study sigma models in AdS4 with global N = 1 supersymmetry and find that they differ significantly from their flat-space cousins - the target space is constrained to be a K¨ahler manifold with an exact K¨ahler form, the superpotential transforms under K¨ahler transformations, the space of supersy...
| Main Authors: | , , , |
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| Other Authors: | |
| Format: | Article |
| Language: | English |
| Published: |
Springer-Verlag,
2012-08-06T19:36:06Z.
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| Subjects: | |
| Online Access: | Get fulltext |
| Summary: | We study sigma models in AdS4 with global N = 1 supersymmetry and find that they differ significantly from their flat-space cousins - the target space is constrained to be a K¨ahler manifold with an exact K¨ahler form, the superpotential transforms under K¨ahler transformations, the space of supersymmetric vacua is generically a set of isolated points even when the superpotential vanishes, and the R-symmetry is classically broken by the cosmological constant. Remarkably, the exactness of the K¨ahler class is also required for the sigma model to arise as a decoupling limit of N = 1 supergravity, and ensures the vanishing of gravitational anomalies. As applications of these results, we argue that fields with AdS4 scale masses are ubiquitous in, for example, type IIB N = 1 AdS4 vacua stabilized near large volume; we also present a schematic argument that the Affleck-Dine- Seiberg runaway of Nf < Nc SQCD can be regulated by considering the theory in AdS4. United States. Dept. of Energy (contract DE-FC02-94ER40818) |
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